3386880000 has 780 divisors, whose sum is σ = 14585549880. Its totient is φ = 774144000.

The previous prime is 3386879987. The next prime is 3386880031. The reversal of 3386880000 is 886833.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×3386880000² = 22941912268800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 483839997 + ... + 483840003.

Almost surely, 2^3386880000 is an apocalyptic number.

3386880000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3386880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292774940).

3386880000 is an abundant number, since it is smaller than the sum of its proper divisors (11198669880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3386880000 is an frugal number, since it uses more digits than its factorization.

3386880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3386880000 is about 58196.9071343143. The cubic root of 3386880000 is about 1501.7579389622.

Multiplying 3386880000 by its product of nonzero digits (27648), we get a square (93640458240000 = 9676800²).

3386880000 divided by its product of nonzero digits (27648) gives a square (122500 = 350²).

The spelling of 3386880000 in words is "three billion, three hundred eighty-six million, eight hundred eighty thousand".